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Whitepunk [10]
3 years ago
10

I need help!

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
We will want to use the Pythagorean theorem
a^2 + b^2 = c^2
We can plug in the values we know
7^2 + 9^2 = c^2
49 + 81 = c^2
130 = c^2
We will then square both sides to get c by itself
c = 11.4 meters
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The equation y = 5x represents a proportional relationship. what is the constant of proportionality
balandron [24]

Answer:

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Which of the following is the inverse of y=3x?
shtirl [24]

Answer-

<em>The inverse of y=3^x is </em>

\boxed{\boxed{y=\log_3 x}}

<u>Solution-</u>

The given function is,

y=3^x

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.

So in the inverse would be,

\Rightarrow x=3^y

Taking log of both sides,

\Rightarrow \log x=\log 3^y

As,

\log a^b=b\times \log a

Applying the same,

\Rightarrow \log x=y\times \log 3

\Rightarrow y=\dfrac{\log x}{\log 3}

As,

\log_b a=\dfrac{\log a}{\log b}

Applying the same,

\Rightarrow y=\log_3 x

Therefore, the inverse of y=3^x is y=\log_3 x.

7 0
3 years ago
Read 2 more answers
Melissa, Ryan, and Chau sent 122 text messages. Chau sent 3 times as many as Ryan. Ryan sent 7 fewer then Melissa. How many mess
Zigmanuir [339]

Answer:

  • Melissa: 30
  • Ryan: 23
  • Chau: 69

Step-by-step explanation:

Let r represent the number of messages Ryan sent. Then Chau sent 3r and Melissa sent r+7. Their total was ...

  (r+7) +(r) +(3r) = 122

  5r +7 = 122 . . . . . collect terms

  5r = 115 . . . . . . . . subtract 7

  r = 23 . . . . . . . . . . divide by 5

Ryan sent 23, Melissa sent 30, and Chau sent 69 text messages.

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3 years ago
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Answer:


Step-by-step explanation:

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Customer- I recently saw an advertisement that said your company would give 5% discount to anyone who enrolls in your automatic
Darya [45]

Answer: $3.75

Step-by-step explanation:

The amount that you would save is 5% of your monthly bill of $75.

This amount is:

= 75 * 5%

= $3.75

<em>The total amount that you would pay is:</em>

<em>= 75 - 3.75</em>

<em>= $71.25</em>

4 0
3 years ago
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